"To play God" isn't just to do something spectacular which wasn't possible before. It's to
use other people - to put yourself on a higher teleological level than other people, declaring their purpose (whatever it is) as fully subordinate to
your purpose (whatever it is).
As if they were a tool you created. Obviously, if I carve a piece of wood into a spoon, it's I who get to say that what used to be a piece of wood now has a purpose of moving soup to mouths. The carved piece of wood now has a purpose, but it's wholly subordinate to my purpose (whatever it is).
You don't have to actually design people to play God - you can subordinate others to your purpose without doing that, that's what various God-kings in history did. But it certainly gives you a head start if you make them.
You can make something and don't subordinate it to your purpose. In our culture, we see children that way. We claim, basically, that we didn't deliberately design a child, we only obeyed our own natures without really having much choice in the matter, and thus we and our child is on the same teleological level.
This is not a cultural universal. In many cultures, parents (in particular fathers) would say basically "I made you, so you must do as I please, you have no reason for existing except for my purposes". It was a hard won battle for our culture to assert that children matter for their own sake and not just for their parent's.
Many things in this thread makes me want to say "Y'all MFs need Jesus". I won't say that, but I will say that you should stop and think about why it is that the Catholic church is so difficult about contraception, why Christians in general have historically made such a big deal of the difference "born of God" vs "Created by God" (arianism, etc.), and what that story of Abraham and Isaac was really about. Whether you agree or not, there's much about other people you will never understand if you don't think about teleological levels.